1/6 divided by 3/7<br> Equals?

For a given IQ test, an individual is considered a genius if their score falls more than three standard deviations from the mean

ki77a [65]

Answer:

$P(Z>3) = 1-P(Z$

So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

And we can say that the answer is a.2

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Solution to the problem

Let X the random variable that represent the IQ scores of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu=?,\sigma=?)$

We are interested on this probability

$P(X>X+3\mu)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

And we can find the following probablity:

$P(Z>3) = 1-P(Z$

So then the probability that an individual present and IQ higher than 3 deviation from the mean is 0.00135

And if we find the number of individuals that can be considered as genius we got: 0.00135*1500=2.025

And we can say that the answer is a/2.0

3 0

2 years ago

Find the 9th term of the geometric sequence 8, 32, 128, ...

cestrela7 [59]

Answer:

524,288

Step-by-step explanation:

Hope this helps!

4 0

2 years ago

The probability that you roll a 5 on a six-sided die is start fraction one over six end fraction . the probability that you flip

Anastaziya [24]

Let event A be the coin landing on heads and let event B be rolling a 5 on a six-sided die.
Events A and B are independent if, and only if:
$P(A\cap B)=P(A)\times P(B)$
It is given in the question that the above condition for independence is met.
Also A and B are independent if:
P(A|B) = P(A)
P(A) = 1/2
Therefore the probability of flipping a coin and it landing on heads, given that you rolled a 5 on a six-sided die is 1/2. The two events are independent.

5 0

2 years ago

Main Street, State Street, and Birch Avenue intersect to form a right triangle.

ANTONII [103]

Cos theta = 75/115
theta = cos^-1 (75/115)
theta = 49.2 degrees

5 0

3 years ago

Read 2 more answers

What are the zeros of this function?

BabaBlast [244]

Answer:

x = 0 and x = 6

Step-by-step explanation:

See the graph attached to this question.

It is clear from the graph that the curve touches x-axis i.e. y becomes zero at points x = 0 and x = 6

Therefore, the give parabola has zeros at x = 0 and x = 6. (Answer)

Zeros of a function y = f(x) are determined from the equation f(x) = 0 and solving it we will get the x-values which are the zeros of the function.

3 0

2 years ago

1/6 divided by 3/7 Equals?